7794165960 has 384 divisors, whose sum is σ = 29603957760. Its totient is φ = 1741824000.

The previous prime is 7794165949. The next prime is 7794165961. The reversal of 7794165960 is 695614977.

7794165960 is a `hidden beast` number, since 7 + 7 + 9 + 41 + 6 + 596 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7794165897 and 7794165906.

It is not an unprimeable number, because it can be changed into a prime (7794165961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28760625 + ... + 28760895.

It is an arithmetic number, because the mean of its divisors is an integer number (77093640).

Almost surely, 2^7794165960 is an apocalyptic number.

7794165960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7794165960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14801978880).

7794165960 is an abundant number, since it is smaller than the sum of its proper divisors (21809791800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7794165960 is a wasteful number, since it uses less digits than its factorization.

7794165960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 7794165960 is about 88284.5737374316. The cubic root of 7794165960 is about 1982.6979138737.

The spelling of 7794165960 in words is "seven billion, seven hundred ninety-four million, one hundred sixty-five thousand, nine hundred sixty".